Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY

#### Concept explainers

Chapter 4, Problem 8R

## Asymptotic growth rate:According to asymptotic growth rate, the given functions are ordered as follows:210,2logn, 3n+100logn, 4n, nlogn, 4n logn+2n, n2+10n, n3, and 2nExplanation:The above is ordered from least to greatest based on the asymptotic functions. “210” is the constant time so, it is ordered first. Next, “2logn” is linear “O(n)” according to the definition of log. “3n+100logn” is “O(n)”. “4n” is also same as the “O(n)” but larger than the “3n+100logn” term because “4n” term is higher than the “3n” term. “nlogn” belongs to order of “O(n logn)”

04:43
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